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Finding the Fourth Proportional to 209,856.54, 314,846.22 and 67,699.08

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Solution

The fourth proportional to 209,856.54, 314,846.22 and 67,699.08 is: 101,568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.54 : 314,846.22 = 67,699.08 : x
  2. Step 2: Convert to fraction form
    209,856.54/314,846.22 = 67,699.08/x
  3. Step 3: Cross multiply
    209,856.54x = 314,846.22 × 67,699.08
  4. Step 4: Simplify right side
    209,856.54x = 21,314,799,435.48
  5. Step 5: Solve for x
    x = 21,314,799,435.48/209,856.54
  6. Step 6: Final answer
    x = 101,568.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.